Toward theory of quantum Hall effect in graphene

Details Toward theory of quantum Hall effect in graphene Toward theory of quantum Hall effect in graphene

2007-10-18

arxiv.org/abs/0710.3527v2

LowTemp.Phys.34:790,2008

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, no figures, v.2: to match published version

Scientific paper

10.1063/1.2981388

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic catalysis dynamics necessarily coexist (the latter have the form of Dirac masses and correspond to excitonic condensates). This feature of graphene could lead to important consequences, in particular, for the existence of gapless edge states. Solutions of the gap equation corresponding to recently experimentally discovered novel plateaus in graphene in strong magnetic fields are described.

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